Question 278812
How do you solve: 
What is the domain and range of f(x) = (x-5)^2 - 3? 
---
Domain: x can have any value so the domain is All Real Numbers or (-inf,+inf).
-----
Range:
The lowest value (x-5)^2 can have is zero; that occurs when x = 5.
When you subtract 3 the lowest value y can have is -3.
So the Range is "All Real Numbers >= -3" or [-3,inf).
=======================================
Cheers,
Stan H.